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Finding the Third Proportional to 478,867 and 714,148

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Solution

The third proportional to 478,867 and 714,148 is: 1,065,029.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,867 : 714,148 = 714,148 : x
  2. Step 2: Convert to fraction form
    478,867/714,148 = 714,148/x
  3. Step 3: Cross multiply
    478,867x = 714,148 × 714,148
  4. Step 4: Simplify right side
    478,867x = 510,007,365,904
  5. Step 5: Solve for x
    x = 510,007,365,904/478,867
  6. Step 6: Final answer
    x = 1,065,029.26

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.